Answer:
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Step-by-step explanation:
We are given:
Principal Amount (P) = $5000
Years (t) = 5
Rate (r) = 3% or 0.03
We need to find New Amount (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Since amount is compounded continuously so n=1
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.03}{1})^{1*5}\\A=5000(1+0.03)^5\\A=5000(1.03)^5\\A=5000(1.16)\\A=5800[/tex]
So, New Amount (A) = $5800
The amount that results from investing $5000 at 3% compounded continuously for 5 years is $5800
Convert 40 miles per hour to feet per second.
Answer:
Step-by-step explanation:
58.6667
Answer:
The answer is 58.6667
2.1-?=1 1/2
Please answer this I don’t want to fail
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag
Answer: Number of winning tickets =7 and Number of losing tickets = 28 .
Step-by-step explanation:
Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]
[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]
Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]
[tex]=4\times7=28[/tex]
Hence, Number of winning tickets =7 and Number of losing tickets = 28 .
Answer:
7 wining tickets and 28 losing tickets
Step-by-step explanation:
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
In a survey of 2100 people who owned a certain type of car,735 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35%
Step-by-step explanation:
the percent is given by the ratio 735 / 2100 = 7/20 = 0.35
which in percent form is 35%
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for the number of voters who support the referendum.
This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
Solve eight and four eighths minus five and five sixths.
(Giving extra points on this one)
A) two and twelve forty eighths
B) two and thirty forty eighths
C) three and one fourteenth
D) three and twelve fourteenths
(Here is an image if needed) :
Answer:
B: 2 32/48
Step-by-step explanation:
8 4/8 - 5 5/6
Turn to fractions:
8 4/8 = 68/8
5 5/6 = 35/6
Common denominator: 24
68 x 3 = 204
8 x 3 = 24
35 x 4 = 140
6 x 4 = 24
Set-up:
204/24 - 140/24
Solve:
64/ 24
Simplifying to Mixed Number:
64/24 = 8/3 = 2 2/3 = 2 32/48
Answer:
b
Step-by-step explanation:
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
Elena is going to mow lawns for the summer to make some extra money. She will charge $20 for every lawn she mows and plans on mowing several lawns each week.
Let n = the number of lawn she mows.
Write an expression for the total amount she will charge for all of the lawns she mows.
will brainlist
Answer:
Kx20=N
Step-by-step explanation:
k with be the number multiplied by 20 and then N will be the answer
The expression for the total amount she charged can be represented as A = 20n.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
For example 2x = 54
An expression is a mathematical proof of the equality of two mathematical expressions.
Given that,
She will charge $20 for every lawn
Number of lawns she mows = n
Total charge let's represent by A
Then,
A = 20n will be the correct expression.
Hence "The expression for the total amount she charged can be represented as A = 20n".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9
Omg Pleasssee Help Me
Answer:
5(5v+4)=17v+8v+9+9
25v+20=25v+18
25v-25v=18-20
0v=-2
i think soooo
this question is very very irrelevant
Step-by-step explanation:
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
help plsss i really need it
Answer:
can u re-upload the image i cant see it
Step-by-step explanation:
A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?
Answer:
Step-by-step explanation:
We can write an relationship for this as:
3
:
2
→
24
:
b
Where
b
is the number of burgers sold without cheese.
We can rewrite the relationship as an equation and solve for
b
:
3
2
=
24
b
2
3
=
b
24
24
×
2
3
=
24
×
b
24
48
3
=
24
×
b
24
16
=
b
b
=
16
The restaurant would of sold
16
burgers without cheese with the information provided in the problem.
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
the expected values of two television sets are predicted as follows.(help a sis out)
Answer:
The graph of g(x) has a lesser y intercept
Step-by-step explanation:
Given
f(x) = 100(-x + 4)
Required
Determine the relationship between f(x) and g(x)
First, we need to get the equation of g(x).
From the question, we have that:
Initial Value = 360
Rate = -90 yearly
[It is negative because the rate shows decrement]
Hence, the equation of g(x) is:
g(x) = Initial Value + Rate * x
Where x represents number of years
g(x) = 360 + (-90 * x)
g(x) = 360 - 90x
g(x) = -90x + 360
Recall that
f(x) = 100(-x + 4)
f(x) = -100x + 400
To solve y intercept, we set x = 0.
f(0) = -100 * 0 + 400 = 0 + 400 = 400
g(0) = -90 * 0 + 360 = 0 + 360 = 360
By comparison, the graph of g(x) has a lesser y intercept
To solve x intercept, we set y = 0
For f(x)
0 = -100x + 400
100x = 400
x = 4
For g(x)
0 = -90x + 360
90x = 360
x = 4
By comparison, they have the same x intercepts.
From the list of given options, option A answers the question.
PLEASE HELP ASAP!!!!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
19) slope=2 y-intercept is 1 equation is y=2x+1
20) slope=-4 y-intercept is 4 equation is y=-4x+4
21) slope=-1/3 y-intercept is -5 equation is y=-1/3x-5
22) slope=-2/3 y-intercept is -5 equation is y=-2/3x-5
23) slope=-8 y-intercept is is -4 equation is y=-8x-4
24) slope=5 y-intercept is -3 equation is y=5x-3
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
need someone’s help with this please!!!
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
what is 5+5 and then divided by 8
cube m holds a maximum of 64 unit cubes. each unit cube has an edge length of 1/2 centimeter. what is the length of cube m?
Answer:
136 or 34
Step-by-step explanation:
not sure if its right because my math is bad
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
Will MARK YOU!!!HELP!!! DUE IN 5MINS...
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function.
y = 2x
y = x2 + 4x - 2
0
1
2
3
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
Reduce the answer to lowest terms 4/5 divided 16/15
Answer:
3/4
Step-by-step explanation:
4/5 divided by 16/15 = 4/5 x 15/16
Simplfied = 1 x 3 / 1 x 4
Simplified = 3/4
Thus, our answer is 3/4
the pie below is cut into 15 equal slices. Shade 1/3 of this pie
Answer:
Shade 5 slices.
Step-by-step explanation:
15 / 3 = 5
5 * 3 =15
Twenty-seven less than eight times a number is equal to five. What is the number?